Control over communication networks : modeling, analysis, and design of networked control systems and multi-agent systems over imperfect communication channels /: modeling, analysis, and design of networked control systems and multi-agent systems over imperfect communication channels. (2023)

• Record Type: Book
• Further Information: Note: Jianying Zheng, Liang Xu, Qinglei Hu, Lihua Xie.
• Authors: (Electrical engineer), Zheng, Jianying; (Electrical engineer), Xu, Liang; Hu, Qinglei; Xie, Lihua
• Contents: Preface xv Acknowledgments xvii Acronyms xix List of Symbols 1 1 Introduction 5 1.1 Introduction and Motivation . . . . . . . . . . . . . . . . . . . . . 5 1.1.1 Networked Control Systems . . . . . . . . . . . . . . 5 1.1.2 Multi-Agent Systems . . . . . . . . . . . . . . . . . . 7 1.2 Literature Review . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.2.1 Basics of Communication Theory . . . . . . . . . . . 9 1.2.2 Stabilization of NCSs . . . . . . . . . . . . . . . . . . 12 1.2.3 LQ Optimal Control of NCSs over Fading Channels 18 1.2.4 Estimation of NCSs with Intermittent Communication 20 1.2.5 Distributed Consensus of MASs . . . . . . . . . . . . 24 1.3 Preview of the Book . . . . . . . . . . . . . . . . . . . . . . . . . 27 1.4 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 1.4.1 Graph Theory . . . . . . . . . . . . . . . . . . . . . . 32 1.4.2 Hadamard Product and Kronecker Product . . . . . 33 vii 2 Stabilization over Power Constrained Fading Channels 53 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 2.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . 54 2.3 Fundamental Limitations . . . . . . . . . . . . . . . . . . . . . . 57 2.4 Mean-square Stabilizability . . . . . . . . . . . . . . . . . . . . . 62 2.4.1 Scalar Systems . . . . . . . . . . . . . . . . . . . . . . 64 2.4.2 Two-Dimensional Systems . . . . . . . . . . . . . . . 66 2.4.3 High-Dimensional Systems: TDMA Scheduler . . . 75 2.4.4 High-Dimensional Systems: Adaptive TDMA Scheduler . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 2.5 Numerical Illustrations . . . . . . . . . . . . . . . . . . . . . . . . 85 2.5.1 Scalar Systems . . . . . . . . . . . . . . . . . . . . . . 85 2.5.2 Vector Systems . . . . . . . . . . . . . . . . . . . . . 86 2.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 3 Stabilization over Gaussian Finite-State Markov Channels 93 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 3.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . 94 3.2.1 Stability of Markov Jump Linear Systems . . . . . . 97 3.2.2 Sojourn Times for Markov Lossy Process . . . . . . . 98 3.3 Fundamental Limitation . . . . . . . . . . . . . . . . . . . . . . . 99 3.4 Stabilization over Finite-state Markov channels . . . . . . . . . 104 3.4.1 Communication Structure . . . . . . . . . . . . . . . 105 3.4.2 Observer/Estimator/Controller Design . . . . . . . . 105 viii 3.4.3 Encoder/Decoder/Scheduler Design . . . . . . . . . 108 3.4.4 Sufficient Stabilizability Conditions . . . . . . . . . . 109 3.5 Stabilization over Markov Lossy Channels . . . . . . . . . . . . . 115 3.5.1 Two-dimensional Systems . . . . . . . . . . . . . . . 115 3.5.2 High-dimensional Systems . . . . . . . . . . . . . . . 123 3.5.3 Numerical Illustrations . . . . . . . . . . . . . . . . . 129 3.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 4 Linear-Quadratic Optimal Control of NCSs with Random Input Gains 135 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 4.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . 137 4.3 Finite-horizon LQ Optimal Control . . . . . . . . . . . . . . . . . 141 4.4 Solvability of Modified Algebraic Riccati Equation . . . . . . . . 144 4.4.1 Cone-Invariant Operators . . . . . . . . . . . . . . . . 145 4.4.2 Solvability . . . . . . . . . . . . . . . . . . . . . . . . . 154 4.5 LQ Optimal Control . . . . . . . . . . . . . . . . . . . . . . . . . 173 4.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 5 Multi-Sensor Kalman Filtering with Intermittent Measurements 189 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 5.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . 190 5.3 Stability Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 5.3.1 Transmission Capacity . . . . . . . . . . . . . . . . . . 193 ix 5.3.2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . 194 5.3.3 Lower Bound . . . . . . . . . . . . . . . . . . . . . . . 196 5.3.4 Upper Bound . . . . . . . . . . . . . . . . . . . . . . . 199 5.3.5 Special Cases . . . . . . . . . . . . . . . . . . . . . . . 211 5.4 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 5.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 6 Remote State Estimation with Stochastic Event-triggered Sensor Schedule and Packet Drops 217 6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 6.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . 218 6.3 Optimal Estimator . . . . . . . . . . . . . . . . . . . . . . . . . . 220 6.4 Sub-optimal Estimators . . . . . . . . . . . . . . . . . . . . . . . 229 6.4.1 Fixed Memory Estimator . . . . . . . . . . . . . . . . 229 6.4.2 Particle Filter . . . . . . . . . . . . . . . . . . . . . . . 232 6.5 Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238 6.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 7 Distributed Consensus over Undirected Fading Networks 245 7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 7.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . 246 7.3 Identical Fading Networks . . . . . . . . . . . . . . . . . . . . . 248 7.4 Non-identical Fading Networks . . . . . . . . . . . . . . . . . . . 261 7.4.1 Definition of Edge Laplacian . . . . . . . . . . . . . . 261 7.4.2 Sufficient Consensus Conditions . . . . . . . . . . . . 263 x 7.5 Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 7.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271 8 Distributed Consensus over Directed Fading Networks 277 8.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 8.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . 278 8.3 Identical Fading Networks . . . . . . . . . . . . . . . . . . . . . 279 8.3.1 Consensus Error Dynamics . . . . . . . . . . . . . . . 280 8.3.2 Consensusability Results . . . . . . . . . . . . . . . . 283 8.3.3 Balanced Directed Graph Cases . . . . . . . . . . . . 286 8.4 Definitions and Properties of CIIM, CIM and CEL . . . . . . . 289 8.4.1 Definitions of CIIM, CIM and CEL . . . . . . . . . . 289 8.4.2 Properties of CIIM, CIM and CEL . . . . . . . . . . 292 8.5 Non-identical Fading Networks . . . . . . . . . . . . . . . . . . . 296 8.5.1 Λ = μI . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 8.5.2 Λ ̸= μI . . . . . . . . . . . . . . . . . . . . . . . . . . . 306 8.6 Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307 8.7 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 308 9 Distributed Consensus over Networks with Communication Delay and Packet Dropouts 315 9.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315 9.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . 316 9.3 Consensusability with Delay and Identical Packet Dropouts . . 318 xi 9.3.1 Stability Criterion of NCSs with Delay and Multiplicative Noise . . . . . . . . . . . . . . . . . . . . . . 318 9.3.2 Consensusability Conditions . . . . . . . . . . . . . . 326 9.4 Consensusability with Delay and Non-Identical Packet Dropouts 334 9.5 Illustrative Examples . . . . . . . . . . . . . . . . . . . . . . . . . 341 9.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 10 Distributed Consensus over Mar
• Edition: 1st
• Publisher Details: Hoboken : Wiley-IEEE Press
• Publication Date: 2023
• Extent: 1 online resource (288 pages)
• Subjects: 620.46; Supervisory control systems -- Reliability; Remote control; Robust control; Uncertainty (Information theory); Fault tolerance (Engineering); Multiagent systems
• Languages: English
• ISBNs: 9781119885818
• Related ISBNs: 9781119885795
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
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